Some error bounds and numerical experiments in modal methods for dynamics of systems
作者:
I. Gladwell,
P. M. Hanson,
期刊:
Earthquake Engineering&Structural Dynamics
(WILEY Available online 1984)
卷期:
Volume 12,
issue 1
页码: 9-36
ISSN:0098-8847
年代: 1984
DOI:10.1002/eqe.4290120103
出版商: John Wiley&Sons, Ltd
数据来源: WILEY
摘要:
AbstractWe present someerror expressionsfor approximate modal solutions of viscously damped linear structural vibration equations; these approximations are calculated by a variety of modal techniques. Motivated by our numerical experience, we show the equivalence of some different modal solutions in the presence of classical damping and, in passing, we obtain a previously unremarked manifestation of this type of damping. We make some brief comments about obtainingerror estimatesand, finally, we show some numerical results for a standard test problem which illustrate properties of the modal solutions.
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